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Or June 1st 1905 00:02:00 in Singapore.

I had to google this one. http://www.timeanddate.com/worldclock/clockchange.html?n=236...

Now that's just mean! ;)

Well, you don't know if 31.12.2015 will have a 23:59:60 or no. These seconds are announced just prior to being added, the system couln't possibly know it.

Obviously no.

That's after the Mayapocolypse.

June is already decided. We'll know either way about the December second when the next bulletin C is published, sometime next July: http://hpiers.obspm.fr/iers/bul/bulc/

Or 30th February 1712.